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Simplifying 13 + -0.5x = 15 + -0.75x Solving 13 + -0.5x = 15 + -0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75x' to each side of the equation. 13 + -0.5x + 0.75x = 15 + -0.75x + 0.75x Combine like terms: -0.5x + 0.75x = 0.25x 13 + 0.25x = 15 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 13 + 0.25x = 15 + 0.00 13 + 0.25x = 15 Add '-13' to each side of the equation. 13 + -13 + 0.25x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 0.25x = 15 + -13 0.25x = 15 + -13 Combine like terms: 15 + -13 = 2 0.25x = 2 Divide each side by '0.25'. x = 8 Simplifying x = 8
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